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Created on: 2012-03-02

A sample problem solved by Quickmath web algebra calculator

investigate techniques to expand a sum that contains 3 terms. (4*x+1)*(3*x-4) | assistance with adding 6-q/8+(-(3-q))/3+(-(7-q))/12

Command

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Expression

(4*y^3-22*y^2+24*y)/(2*y^3+5*y^2+(-12)*y)

  1. A rational expression: the top of the rational expression is a sum that comprises 3 terms; the first term of the sum is equal to a product that consists of 2 factors; the first factor of the product is four; the second factor of the product is a power; the base is y; the exponent is three; the second term of the sum is equal to a negative product of 2 factors; the first factor of the product is equal to twenty two; the second factor of the product is equal to a power; the base is y; the exponent is two; the third term of the sum is equal to a product that comprises 2 factors; the first factor of the product is equal to twenty four; the second factor of the product is equal to y; the bottom of the rational expression is a sum of 3 terms; the first term of the sum is equal to a product that consists of 2 factors; the first factor of the product is two; the second factor of the product is equal to a power; the base is y; the exponent is three; the second term of the sum is a product consisting of 2 factors; the first factor of the product is equal to five; the second factor of the product is a power; the base is y; the exponent is two; the third term of the sum is a product that comprises 2 factors; the first factor of the product is equal to negative twelve; the second factor of the product is equal to y;
  2. four multiplied by y raised to the power of three plus negative twenty two times y exponentiated by two plus twenty four multiplied by y fraction line two multiplied by y raised to the power three plus five multiplied by y raised to the power two plus open parenthesis negative twelve close parenthesis times y.

Result

(2*y-8)/(y+4)

  1. A rational expression: the numerator of the rational expression is a sum comprising 2 terms; the first term of the sum is equal to a product of 2 factors; the first factor of the product is equal to two; the second factor of the product is equal to y; the second term of the sum is equal to negative eight; the denominator of the rational expression is a sum consisting of 2 terms; the first term of the sum is y; the second term of the sum is four;
  2. two multiplied by y plus negative eight fraction line y plus four.